Abstract We prove some C∞documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$C^infty $$end{document} and Gevrey well-posedness results for hyperbolic equations whose coefficients lose regularity at one point.
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